My website is so big that it has 30 subdirectories. Which suggests to me that I should take a month or so to tweet a link to one of those each day. I’ll start tomorrow. For now, here’s the link to the site:

mathed.page

#mtbos #iteachmath #mathed Image
1.
_Algebra: Themes, Tools, Concepts_ is a ground-breaking textbook I co-authored in the 90’s, with powerful lessons for grades 7-12. Free, with supporting materials and commentary:

mathed.page/attc/

#mtbos #iteachmath #mathed Image
2.
Seeking Depth in Algebra 2

Bad teaching has given that course a bad rep. Done right, it helps prepare *all* students for more advanced work.

Links to a range of curricular materials:

mathed.page/alg-2/index.ht…

#mtbos #iteachmath #mathed Image
3.
Applets

I created dozens of @geogebra applets to illustrate math concepts, often using animation. Check them out!

mathed.page/applets.html

#mtbos #iteachmath #mathed Image
@geogebra 4.
Games and worksheets about complex numbers.

mathed.page/alg-2/complex/…

A graphical approach for Algebra 2, followed up with proof and matrices in precalc.

#mtbos #iteachmath #mathed Image
@geogebra 5.
The Conic Sections

...a smaller and smaller part of high school math in the U.S. And yet more accessible than ever!

mathed.page/conics.html

I focus (heh) on their geometry, 2D and 3D.

#mtbos #iteachmath #mathed Image
@geogebra 6.
Electronic Graphing

A range of activities, some from the early days, some quite recent, and including some classics.

mathed.page/calculator/ind…

#mtbos #iteachmath #mathed Image
@geogebra 7.
Exponential Functions

10-sided dice experiment.

Analyzing and discussing exponential graphs.

All exponential graphs are similar.

mathed.page/alg-2/exponent…

#mtbos #iteachmath #mathed Image
@geogebra 8.
Fractions

- A powerful and flexible grid paper approach

- Pie chart connections to angles, time, money, percent, decimals.

- The Egyptian challenge!

mathed.page/early-math/fra…

#mtbos #iteachmath #mathed Image
@geogebra 9.
Function Diagrams

A powerful parallel axes representation of functions, with uses from middle school to calculus.

mathed.page/func-diag

#mtbos #iteachmath #mathed ImageImageImageImage
@geogebra 10.
Functions

Dozens of lessons on functions, grades 8-12 (basic algebra to calculus.) Adopt or adapt!

mathed.page/functions.html

#mtbos #iteachmath #mathed Image
@geogebra 11.
Using the Geoboard

Dozens of links, grades 7-10, plus some problems for teachers.

mathed.page/geoboard

#mtbos #iteachmath #mathed Image
@geogebra 12.
Geometric Puzzles

Puzzles, lessons, articles, books, etc. about pentominoes, tangrams, supertangrams,rep-tiles, and more.

mathed.page/puzzles/puzzle…

#mtbos #iteachmath #mathed Image
@geogebra 13.
Geometry Labs

Free book with dozens of hands-on activities for middle school and high school. Plus connections, corrections, extensions, and revisions — many suggested by users.

mathed.page/geometry-labs

#mtbos #iteachmath #mathed Image
@geogebra 14.
Integer Sequences

Unsurprisingly, quite a few curriculum items on my site are related to sequences on the #OEIS. This page makes the links explicit. I also share the “best of” those activities in a PDF.

mathed.page/integer-sequen…

#mtbos #iteachmath #mathed Image
@geogebra 15.
Kinesthetics

Get your students moving! Most of these activities don’t take a lot of time, but they pack some serious pedagogical punch.

mathed.page/kinesthetics

#mtbos #iteachmath #mathed Image
@geogebra 16.
Lab Gear

By far the best manipulatives for algebra — ask anyone who’s used both the Lab Gear and any other option.

Tons of info:
mathed.page/manipulatives/…

#mtbos #iteachmath #mathed Image
@geogebra 17.
Manipulatives

Lots of links to middle school and high school activities involving hands-on materials (and virtual substitutes).

mathed.page/manipulatives/

#mtbos #iteachmath #mathed Image
@geogebra 18.
Middle School

Number, algebra, geometry — materials for grades 7-8

mathed.page/middle-school/

#mtbos #iteachmath #mathed Image
@geogebra 19.
My Publications

Links to a dozen books and related pages on my website. Most are free downloads.

mathed.page/my-books/index…

#mtbos #iteachmath #mathed Image
@geogebra 20.
My Talks

Over the decades, I’ve made hundreds of presentations and offered hundreds of workshops: at conferences, for schools, for districts... And now online.

Links to the handouts, slides, etc. for some of those.

mathed.page/talks.html

#mtbos #iteachmath #mathed Image
@geogebra 21.
Mathematics Overview

This 15-unit course outline can serve as a summary of central secondary school topics, and a guide to some of the best materials on my website. The tech bits are outdated, but the ideas are solid.

mathed.page/overview/index…

#mtbos #iteachmath #mathed Image
@geogebra 22.
Parabolas and Quadratics

Links to worksheets and applets at different levels — Algebra 1 to Teachers’ Mathematics.

mathed.page/parabolas

#mtbos #iteachmath #mathed Image
@geogebra 23.
Pattern Blocks

These manipulatives show up quite a bit on my website. See especially the dodecagons page, the wallpapers catalog, and the Geometry Labs.

mathed.page/manipulatives/…

#mtbos #iteachmath #mathed Image
@geogebra 24.
The Pythagorean Theorem

Use the geoboard / dot paper, grid paper, and a three-piece puzzle.

Follow up with three animations.

mathed.page/constructions/…

#mtbos #iteachmath #mathed Image
@geogebra 25.
Sequences and Series

Materials on arithmetic and geometric sequences and series, grades 6-12.

mathed.page/attc/seq/index…

#mtbos #iteachmath #mathed Image
@geogebra 26.
Symmetry

Links to hands-on and online activities, grades 1-12 and beyond. Some core material, some “enrichment”.

mathed.page/symmetry/

Also: online summer PD, grades 6-8.

#mtbos #iteachmath #MathEd Image
@geogebra 27.
Teachers’ Mathematics

Lessons I’ve used in professional development workshops, diving deeper into school math: concept analysis, problem analysis, formal development.

mathed.page/teachers/index…

#mtbos #iteachmath #mathed Image
@geogebra 28.
About Teaching

Reaching the Full Range
Tool-Rich Pedagogy
Assessment Trap!
Retakes vs. Test Corrections
Taking Notes vs. Doing Math
Against Hyper-Acceleration
Time Pressure
Place of Puzzles
Common Core: a closer look
etc.

mathed.page/teaching

#mtbos #iteachmath #mathed Image
@geogebra 29.
Tiling (Tessellation)

Tiling provides opportunities for student creativity, for exploration of basic geometry, and for expanding student understanding of transformations and symmetry.

mathed.page/tiling.html

#mtbos #iteachmath #mathed Image
@geogebra 30.
Iterating Functions

Guided discovery of a somewhat unfamiliar topic that is adjacent to standard curriculum.

Linear: suitable for Algebra 1 and Algebra 2.

Non-Linear: suitable for Precalculus and electives.

mathed.page/iterating/inde…

#mtbos #iteachmath #mathed Image
@geogebra 31.
Tools

There is no single theory that answers all pedagogical questions. Still, a constant in my teaching and curriculum development has been the use of learning tools: electronic, manipulative, and pencil-paper.

Links:
mathed.page/tools/tools.ht…

#mtbos #iteachmath #mathed Image
@geogebra 32.
Transformational Geometry

Links to curricular materials for various grade levels, plus in-depth materials for teachers and curriculum developers.

mathed.page/transformation…

Last tweet in this series. Whew.

#mtbos #iteachmath #mathed Image

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